Merge pull request #218 from harshendram/Algo/Kruskal

Added the Kruskal algo implementation in c

Author: Pradeepsingh61

CPP/algorithms/greedy_algorithms/kruskal_algorithm.cpp

@@ -0,0 +1,81 @@
+#include <iostream>
+#include <vector>
+#include <algorithm>
+#include <numeric>
+
+struct Edge
+{
+    int src, dest, weight;
+};
+
+struct DSU
+{
+    std::vector<int> parent;
+    DSU(int n)
+    {
+        parent.resize(n);
+        std::iota(parent.begin(), parent.end(), 0);
+    }
+
+    int find(int i)
+    {
+        if (parent[i] == i)
+            return i;
+        return parent[i] = find(parent[i]);
+    }
+
+    void unite(int i, int j)
+    {
+        int root_i = find(i);
+        int root_j = find(j);
+        if (root_i != root_j)
+        {
+            parent[root_i] = root_j;
+        }
+    }
+};
+
+bool compareEdges(const Edge &a, const Edge &b)
+{
+    return a.weight < b.weight;
+}
+
+void kruskalMST(int V, std::vector<Edge> &edges)
+{
+    std::vector<Edge> result;
+    std::sort(edges.begin(), edges.end(), compareEdges);
+
+    DSU dsu(V);
+    int total_weight = 0;
+
+    for (const auto &edge : edges)
+    {
+        int src_root = dsu.find(edge.src);
+        int dest_root = dsu.find(edge.dest);
+
+        if (src_root != dest_root)
+        {
+            result.push_back(edge);
+            dsu.unite(src_root, dest_root);
+            total_weight += edge.weight;
+        }
+    }
+
+    std::cout << "Edges in the Minimum Spanning Tree:" << std::endl;
+    for (const auto &edge : result)
+    {
+        std::cout << edge.src << " -- " << edge.dest << " == " << edge.weight << std::endl;
+    }
+    std::cout << "Total weight of MST: " << total_weight << std::endl;
+}
+
+int main()
+{
+    int V = 4;
+    std::vector<Edge> edges = {
+        {0, 1, 10}, {0, 2, 6}, {0, 3, 5}, {1, 3, 15}, {2, 3, 4}};
+
+    kruskalMST(V, edges);
+
+    return 0;
+}